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Finding the Third Proportional to 258,578 and 554,020

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Solution

The third proportional to 258,578 and 554,020 is: 1,187,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,578 : 554,020 = 554,020 : x
  2. Step 2: Convert to fraction form
    258,578/554,020 = 554,020/x
  3. Step 3: Cross multiply
    258,578x = 554,020 × 554,020
  4. Step 4: Simplify right side
    258,578x = 306,938,160,400
  5. Step 5: Solve for x
    x = 306,938,160,400/258,578
  6. Step 6: Final answer
    x = 1,187,023.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.